Shawn675
contestada

Please help!! Question-The roof of a building is in the shape of a square pyramid 25 m on each side. If the slant height of the pyramid is 18 m, how much will roofing material cost at $10.23 per sq m (Round to the nearest whole number)

Respuesta :

calculista

Answer:

[tex]\$9,207[/tex]

Step-by-step explanation:

step 1

Find the lateral area

we know that

The lateral surface of a square pyramid is equal to the area of its four lateral triangular faces

so

[tex]LA=4[\frac{1}{2}bh][/tex]

where

[tex]b=25\ m[/tex]

[tex]h=18\ m[/tex] ----> slant height

substitute the values

[tex]LA=4[\frac{1}{2}(25)(18)]=900\ m^{2}[/tex]

step 2

Find the cost

[tex]900(10.23)=\$9,207[/tex]

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